Closed mappings and quasimetrics
Author:
Jacob Kofner
Journal:
Proc. Amer. Math. Soc. 80 (1980), 333-336
MSC:
Primary 54E15; Secondary 54C10
DOI:
https://doi.org/10.1090/S0002-9939-1980-0577769-6
MathSciNet review:
577769
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Abstract | References | Similar Articles | Additional Information
Abstract: Closed continuous mappings with first countable images preserve quasi-metric spaces as well as nonarchimedean quasi-metric spaces and -spaces. This is a strict generalization of analogous results on perfect mappings: there exists a closed continuous mapping of a nonarchimedean quasi-metric Moore space onto a compact metric space which is neither perfect nor boundary compact.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1980-0577769-6
Keywords:
Closed mapping,
quasi-metric,
nonarchimedean quasi-metric,
-space,
perfect mapping,
first countable space
Article copyright:
© Copyright 1980
American Mathematical Society